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Finding the Fourth Proportional to 8,132.02, 12,198.86 and 2,209

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Solution

The fourth proportional to 8,132.02, 12,198.86 and 2,209 is: 3,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.02 : 12,198.86 = 2,209 : x
  2. Step 2: Convert to fraction form
    8,132.02/12,198.86 = 2,209/x
  3. Step 3: Cross multiply
    8,132.02x = 12,198.86 × 2,209
  4. Step 4: Simplify right side
    8,132.02x = 26,947,281.74
  5. Step 5: Solve for x
    x = 26,947,281.74/8,132.02
  6. Step 6: Final answer
    x = 3,313.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.